9514 1404 393
Answer:
$2.50
Step-by-step explanation:
The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.
Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.
The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.
(8n +4p) -4(3n +2p) = (16.00) -4(6.50)
-4n -4p = -10.00 . . . . . . . . . . . simplify
n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)
The total cost for one notebook and one pen is $2.50.
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<em>Additional comment</em>
The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.
One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.
Answer: £23,360
Step-by-step explanation:
You can use algebra to solve this.
Assume that the original investment is x.
In the beginning of 2015 the balance had increased by 2.5% which is denoted as:
= 1.025x
Carol then withdrew a thousand:
= 1.025x - 1,000
This value then increased by 2.5% again by the beginning of 2016:
= 1.025 * (1.025x - 1,000)
Relevant expression therefore is:
1.025 *(1.025x - 1,000) = 23,517.60
1.025x - 1,000 = 23,517.60/1.025
1.025x = 22,944 + 1,000
x = 23,944/1.025
x = £23,360
True, bc they add up to 180 and are the same size.
Answer:
45 tomatoes
Step-by-step explanation:
1 hour = 60 minutes
60 ÷ 12 = 5
you can get 9 tomatoes every 12 minutes, 5 times in one hour
9 × 5 = 45
Plug into y-y1=m(x-x1)
y+4=4(x-4)
